Consider the second-order SDM model shown in Fig. P6.20. (a) Determine...

Consider the second-order SDM model shown in Fig. P6.20.

(a) Determine the signal and noise system functions respectively.

(b) Plot the magnitude response for the noise system function and compare it with the one for the first-order SDM. Can you explain the 6-dB difference from these curves?

(c) Show that the in-band quantization noise power is given approximately by

which implies a 15-dB increase for every doubling of the sampling frequency.